On Error Estimation and Convergence of the Difference Scheme for a Nonlinear Elliptic Equation with an Integral Boundary Condition
In this paper, a two-dimensional nonlinear elliptic equation with an integral boundary condition depending on two parameters is investigated. The problem is solved using the finite difference method. The error in the solution is evaluated based on the properties of M-matrices, and herewith the convergence of the difference scheme is proved. The majorant is constructed to estimate the error of the solution of the system of difference equations.
Authors
- Regimantas Čiupaila (ORCID: https://orcid.org/0000-0002-7910-3285)
- Gailė Kamilė Šaltenienė
- Kristina Pupalaigė (ORCID: https://orcid.org/0000-0001-6443-1756)
- Mifodijus Sapagovas (ORCID: https://orcid.org/0000-0002-7139-3468)
Institutions
- Vilnius Gediminas Technical University (LT)
- Kaunas University of Technology (LT)
- Vilnius University (LT)
- Kaunas University of Applied Engineering Sciences (LT)
Publication Details
- Journal
- Mathematics
- Published
- 2025-03-05
- DOI
- https://doi.org/10.3390/math13050873
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00